WASHINGTON (AP) — The Democratic-controlled House voted Thursday to send President Donald Trump a bipartisan, Senate-drafted, $4.6 billion measure to care for migrant refugees detained at the southern border, capping a Washington skirmish in which die-hard liberals came out on the losing end in a battle with the White House, the GOP-held Senate and Democratic moderates.

The emergency legislation, required to ease overcrowded, often harsh conditions at U.S. holding facilities for migrants seeking asylum, mostly from Central American nations like Honduras and El Salvador, passed by a bipartisan...